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Search: id:A099010
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| A099010 |
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Consider the Kaprekar map n->K(n) defined in A151949. Sequence gives numbers belonging to cycles of length greater than 1. |
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19
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| 53955, 59994, 61974, 62964, 63954, 71973, 74943, 75933, 82962, 83952, 420876, 642654, 750843, 840852, 851742, 860832, 862632, 7509843, 7519743, 7619733, 8429652, 8439552, 8649432, 8719722, 9529641, 43208766, 64308654, 64326654
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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86526432, 64308654, 83208762 form a cycle of length three and 86308632, 86326632, 64326654, 43208766, 85317642, 75308643, 84308652 form a cycle of length seven.
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LINKS
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Joseph Myers, Table of n, a(n) for n=1..28910 [From Joseph Myers (jsm(AT)polyomino.org.uk), Aug 22 2009]
Eric Weisstein's World of Mathematics, Kaprekar Routine
Index entries for the Kaprekar map
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EXAMPLE
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53955 and 59994 form a cycle of length 2 and hence are terms: 53955 -> 95553 - 35559 = 59994 -> 99954 - 45999 = 53955.
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CROSSREFS
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Cf. A151949, A090429, A069746, A099009.
Cf. A164715 (corresponding cycle lengths) [From Joseph Myers (jsm(AT)polyomino.org.uk), Aug 24 2009]
In other bases: Empty (base 2), A165000 (base 3), A165019 (base 4), A165039 (base 5), A165058 (base 6), A165078 (base 7), A165097 (base 8), A165117 (base 9). [From Joseph Myers (jsm(AT)polyomino.org.uk), Sep 05 2009]
Sequence in context: A164519 A099231 A100422 this_sequence A164723 A164720 A151959
Adjacent sequences: A099007 A099008 A099009 this_sequence A099011 A099012 A099013
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KEYWORD
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nonn,base
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AUTHOR
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Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Sep 22 2004
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EXTENSIONS
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Definition revised ny N. J. A. Sloane, Aug 18 2009
Extended by Joseph Myers (jsm(AT)polyomino.org.uk), Aug 22 2009
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